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Mathematics
Mathematics
Problem
Prove that
(
sec
2
x
−
1
)
(
csc
2
x
−
1
)
=
tan
2
x
cot
2
x
(\sec^{2}x - 1)(\csc^{2}x - 1) = \tan^{2}x \, \cot^{2}x
(
sec
2
x
−
1
)
(
csc
2
x
−
1
)
=
tan
2
x
cot
2
x
for all real numbers
x
x
x
for which the expressions are defined.
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